ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

Multiplicative inverse of 0 is

• 0 A
• 1 B
• +-1 C
• Does not exist D

The set which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these D

The set of rational numbers is subset of

• The set of natural numbers A
• The set of real numbers B
• The set of integers C
• The set of whole numbers D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

For any set B, BUB' is

• Is set B A
• Set B' B
• Universal set C
• None of these D

• 
  A
• 
  B
• 
  C
• none of these D

• A A
• A' B
• U C
• None of these D

• A = B A
• B = C B
• A = C C
• None of these D

• Addition A
• Subtraction B
• Multiplication C
• None of these D

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None D

The set of integers is a subset of

• The set of natural numbers A
• The set of whole numbers B
• The set of prime numbers C
• The set of rational numbers D

In set builder notation the set {0, 1, 2, ............, 100} can be written as

• 
  A
• 
  B
• 
  C
• 
  D

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

• 2,2,2 A
• 3,3,3 B
• 2,2,4 C
• 2,3,4 D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

• Improper subset of B A
• Super set of B B
• Proper subset of B C
• None of these D

A function whose range is just one element is called

• One-one function A
• Constant function B
• Onto function C
• Identity function D

Power set of difference set N-W is

• Empty set A
• Infinite set B
• Singleton set C
• {0,∅} D

A conjunction of two statement p and q is true only if

• p is true A
• q is true B
• Both p and q are true C
• both p and q are false D

A monoid (G, *) is said to be group if

• have identity element A
• is commutative B
• have inverse of each element C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• None of these D

The contra positive of p → q is

• q → p A
• ~q→~q B
• ~p→~q C
• None of these D

The set of all positive even integers is

• Not a group A
• A group w.r.t subtraction B
• A group w.r.t division C
• A group w.r.t multiplication D

• 1 A
• 12 B
• 5 C
• 29 D

The set (Z,+) forms a group

• Forms a group w.r.t addition A
• Non commutative group w.r.t multiplication B
• Forms a group w.r.t multiplication C
• Doesn't form a group D